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Scale 3621: "Gylimic"

Scale 3621: Gylimic, Ian Ring Music Theory

Bracelet Diagram

The bracelet shows tones that are in this scale, starting from the top (12 o'clock), going clockwise in ascending semitones. The "i" icon marks imperfect tones that do not have a tone a fifth above. Dotted lines indicate axes of symmetry.

Tonnetz Diagram

41161837294116105072918310504116183
Tonnetz diagrams are popular in Neo-Riemannian theory. Notes are arranged in a lattice where perfect 5th intervals are from left to right, major third are northeast, and major 6th intervals are northwest. Other directions are inverse of their opposite. This diagram helps to visualize common triads (they're triangles) and circle-of-fifth relationships (horizontal lines).

Common Names

Zeitler
Gylimic

Analysis

Cardinality6 (hexatonic)
Pitch Class Set{0,2,5,9,10,11}
Forte Number6-Z40
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 1167
Hemitonia3 (trihemitonic)
Cohemitonia2 (dicohemitonic)
Imperfections3
Modes5
Prime?no
prime: 303
Deep Scaleno
Interval Vector333231
Interval Spectrump3m2n3s3d3t
Distribution Spectra<1> = {1,2,3,4}
<2> = {2,3,5,7}
<3> = {3,4,6,8,9}
<4> = {5,7,9,10}
<5> = {8,9,10,11}
Spectra Variation3.667
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 3621 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 1929
Scale 1929: Aeolycrimic, Ian Ring Music TheoryAeolycrimic
3rd mode:
Scale 753
Scale 753: Aeronimic, Ian Ring Music TheoryAeronimic
4th mode:
Scale 303
Scale 303: Golimic, Ian Ring Music TheoryGolimicThis is the prime mode
5th mode:
Scale 2199
Scale 2199: Dyptimic, Ian Ring Music TheoryDyptimic
6th mode:
Scale 3147
Scale 3147: Ryrimic, Ian Ring Music TheoryRyrimic

Prime

The prime form of this scale is Scale 303

Scale 303Scale 303: Golimic, Ian Ring Music TheoryGolimic

Complement

The hexatonic modal family [3621, 1929, 753, 303, 2199, 3147] (Forte: 6-Z40) is the complement of the hexatonic modal family [183, 1761, 1803, 2139, 2949, 3117] (Forte: 6-Z11)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3621 is 1167

Scale 1167Scale 1167: Aerodimic, Ian Ring Music TheoryAerodimic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3621 is chiral, and its enantiomorph is scale 1167

Scale 1167Scale 1167: Aerodimic, Ian Ring Music TheoryAerodimic

Transformations:

T0 3621  T0I 1167
T1 3147  T1I 2334
T2 2199  T2I 573
T3 303  T3I 1146
T4 606  T4I 2292
T5 1212  T5I 489
T6 2424  T6I 978
T7 753  T7I 1956
T8 1506  T8I 3912
T9 3012  T9I 3729
T10 1929  T10I 3363
T11 3858  T11I 2631

Nearby Scales:

These are other scales that are similar to this one, created by adding a tone, removing a tone, or moving one note up or down a semitone.

Scale 3623Scale 3623: Aerocrian, Ian Ring Music TheoryAerocrian
Scale 3617Scale 3617, Ian Ring Music Theory
Scale 3619Scale 3619: Thanimic, Ian Ring Music TheoryThanimic
Scale 3625Scale 3625: Podimic, Ian Ring Music TheoryPodimic
Scale 3629Scale 3629: Boptian, Ian Ring Music TheoryBoptian
Scale 3637Scale 3637: Raga Rageshri, Ian Ring Music TheoryRaga Rageshri
Scale 3589Scale 3589, Ian Ring Music Theory
Scale 3605Scale 3605, Ian Ring Music Theory
Scale 3653Scale 3653: Sathimic, Ian Ring Music TheorySathimic
Scale 3685Scale 3685: Kodian, Ian Ring Music TheoryKodian
Scale 3749Scale 3749: Raga Sorati, Ian Ring Music TheoryRaga Sorati
Scale 3877Scale 3877: Thanian, Ian Ring Music TheoryThanian
Scale 3109Scale 3109, Ian Ring Music Theory
Scale 3365Scale 3365: Katolimic, Ian Ring Music TheoryKatolimic
Scale 2597Scale 2597: Raga Rasranjani, Ian Ring Music TheoryRaga Rasranjani
Scale 1573Scale 1573: Raga Guhamanohari, Ian Ring Music TheoryRaga Guhamanohari

This scale analysis was created by Ian Ring, Canadian Composer of works for Piano, and total music theory nerd. The software used to generate this analysis is an open source project at GitHub. Scale notation generated by VexFlow, and MIDI playback by MIDI.js. Some scale names used on this and other pages are ©2005 William Zeitler (http://allthescales.org). Peruse this Bibliography.